The Supreme Court of Iceland is located at the Dómhúsið (Courthouse) at Arnarhóll in Reykjavík, a building that was specially built for that purpose and that came into use in 1996.

[3] The first justices of the Supreme Court were Kristján Jónsson (president), Halldór Daníelsson, Eggert Briem, Lárus H. Bjarnason and Páll Einarsson.

In cases where the minister wishes to make changes to the committee's selection, Parliament must approve of said changes with a simple majority vote.

Lawyers appearing before the court wear black robes with blue lapels, whilst the justices wear distinctive blue robes with black lapels, a custom which reputably began with the suggestion of the first lawyers to appear before the Supreme Court, Eggert Claessen and Sveinn Björnsson (later President of Iceland).

Finally, a complete judgement will be prepared, and the justices will sign a single copy which is filed in the Book of Opinions of the Court.

1993 saw a competition to design a new home for the court, which was won by Margrét Harðardóttir and Steve Christer of Studio Granda, Reykjavík.